元数学

元数学与程序设计语言

Metamathematics and programming languages

通过对各单元的分析和整个求解区域的综合，建立了三维的有限元数学模型，根据此模型编写了相应的C语言程序。

After analysing each unit and the whole area , a3-D finite element model and a corresponding c language program were constructed .

垂向二维悬沙输移有限元数学模型

A Two-dimensional Vertical Finite Element Mathematical Model of Suspended Sediment Transport

热分析灰色有限元数学模型

A new thermal analysis approach based on gray finite element method

一个悬移污染物在河流中迁移扩散的二元数学模型

A two-dimensional mathematical model for suspended pollutants transporting and diffusing in river

有限元数学模型在水资源评价中的应用

Application of Finite Element Mathematical Model to Water Resource Evaluation

二值图象的多结构元数学形态滤波

Morphological Filters with Multiple Structuring Elements For Binary Image Processing

准全息元数学模型&超级复杂系统的定量形式化描述

Quasi - holographic - element Model and Its Applications

贮灰库渗流控制及三维等参元数学模型的应用

The Seepage Control from Ash Lagoon and the Application of Three Dimensional Mathematical Model

变形体凝固传热焓式有限元数学模型与过程仿真

An Enthalpy Finite Element Mathematical Model and Process Simulation for Deformation Solidification with Thermal Conduct

复值核结构元数学形态学二值图像实时光学并行处理

Mathematical Morphological Binary Image Real time Parallel Processing Using Optical Frequency Filtering of Complex valued Kernel

提出了适用于三维混凝土高拱坝结构极限下限分析的有限元数学规划算法。

A numerical method is developed for lower bound limit analysis of3D concrete high arch dams .

“元数学教育”概念的提出将会把对数学教育学术规范问题的探讨引向新的理论高度。

The concept " meta-mathematics education " would lead the related research to a new and advanced theoretical level .

黄河口二维潮波泥沙有限元数学模型及应用（Ⅰ）&模型及其验证

Two-dimensional Finite Element Mathematical Model of the Yellow River Estuarine Sediment and Its Application ( I ) & Model and Verification

采用梁、板线性有限元数学模型计算了结构自振特性和地震响应。

Structural free vibration characterization and seismic response were calculated by means of beam-plate linear mathematical model of finite element method .

利用三维边界元数学模型对消声结构传递损失进行了仿真计算。

With the three dimensional boundary element mathematical model . simulation of transmission loss of the muffling structure is carried out .

准全息元数学模型是复杂开放系统的自组织原理模型，可体现复杂开放系统的所有本质特性。

Quasi-holographic-element model is the self-organization principle of the complicated systems , which embodies all essential characteristics of complicated and opened systems .

黄河河口二维泥沙有限元数学模型及应用（Ⅱ）&潮流和泥沙输运沉积过程模拟分析近岸潮流和泥沙运动三维数值模拟

2-D Mathematic Model of the Yellow River Estuarine Tidal Wave and Sediment and Its Application (ⅱ) & Water and Sediment Movement Process Simulation

建立了等离子熔积成形过程移动热源和动质传热的三维有限元数学模型，进行了该过程温度场的模拟分析。

FEM model of plasma powder deposition manufacturing ( PPDM ) was presented in consideration of the moving heat source and dynamic transfer process .

然后，在建立有限元数学模型和反拱形水垫塘底板失稳模式基础上，分析了拉西瓦拱坝反拱水垫塘结构型式对稳定性的影响。

Then based on the finite element model and destabilization mode of counter-arch plunge pool , the influence of the type of plunge pool is analyzed .

在结构动态有限元数学模型修正、结构动力学修改以及结构动态设计中，灵敏度分析是十分重要的一环，往往也是主要计算工作量所在。

Derivatives of vibration mode shapes with respect to design parameters are very important in the structural dynamic design , FE model refining and . structure updating .

本文介绍了射孔完井电模拟及有限元数学模型研究的结果。

This paper introduces the results of electricity simulation and mathematical model of finite element method of perforating completion well , analyzes the effect of perforation pen (?)

为了分析某固体火箭发动机复合材料壳体承载能力，建立了该壳体的有限元数学模型，并进行了数值仿真。

In order to analyze load-bearing capacity of the solid rocket motor fiber winding composite case , its finite element model was established and its load-bearing capacity was simulated .

作者建立了二维的有限元数学模型，并讨论了模型中电化学场的非线性边界条件的处理和非线性方程组的迭代法解法。

The author developed a mathematical model of 2-D finite element , especially discussed how to deal with no-linear boundary conditions of electrochemical fields and used iterative method to solve no-linear equation groups .

本文在考虑有限随动应变强化材料模型的情况下，提出了恒定载荷与复杂变化载荷联合作用下弯管结构安定上限分析的有限元数学规划方法。

In case of the limited kinematic strain hardening material model , a numerical method is proposed for upper bound shakedown analysis of elbow structures under the combined action of constant and complex variable loads .

根据齿轮的二段渗碳工艺建立了渗碳过程的有限元数学模型，结合具体的渗碳工艺条件，编制计算程序，进行了模拟分析，得出了渗碳过程的碳浓度分布；

Based on FEM mathematical models to describe the carburization process and practical carburization technical conditions , two-step gear carburization is simulated by programming , from which the carbon content distribution in carburization process is obtained .

针对受恒定载荷和变化载荷共同作用结构的安全评估，发展了考虑初始恒定载荷和比例载荷联合作用的三维结构上限分析的有限元数学规划格式。

For the safety assessment of structures under the combined action of initial constant loadings and variable loadings , a numerical method for limit analysis of 3-D structures considering initial constant loadings and proportional loadings is developed .

迭代过程中所产生的载荷乘子和相关的速度场收敛于真实解的上限。本文提出了复杂变化载荷（机械与温度）作用下理想弹塑性弯管结构安定上限分析的有限元数学规划方法。

The load factors and corresponding velocity fields during the iterative processes converge to the upper bounds of the real solutions . A numerical method is proposed for upper bound shakedown analysis of elastic-perfectly plastic elbow structures under complex variable loads .

经过大量试验，初步探讨了粉煤灰掺量、胶水比、养护温度对混凝土28天强度的影响规律，建立的三元数学模型较好地描述了这一强度增长规律。

According to the amount of tests , the effect law of mixing ratio of fly ash , cement water ratio , curing temperature to concrete strength of 28 days is discussed , the test mixing and the strength improving law is expressed through three dimensions mathematics model .

本文运用经典的磁荷理论，修正了简化标量位法的物理内涵，并在新的基点上建立了单标量磁位法在静态磁场数值计算中的有限元数学模型；

This paper that makes use of the classical theory of magnetic charges proposes a new formulation of FEM based on the Single Scalar Magnetic Potential Method for magnetostatic field numerical analysis , while it corrects the negligence of the Reduced Scalar Potential Method used in the past .